λ
Harmonic Matrix

1,613,673

32 × 193 × 929
Deficient Odd Composite

1,613,673 has digital root 9. The neighboring primes are 1613671 and 1613683; its proper-divisor sum differs from the starting integer by -881,886.

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Prime Factor Structure

Factorization String 3^2 × 193 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,345,460
Proper Divisor Sum 731,787
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1613671 ← → #1613683

Radix Representation

Decimal 1613673
Binary 110001001111101101001 (21 bits)
Octal 0o6117551
Hexadecimal 0x189F69

Divisor Catalog (5 of 12)

1 3 9 193 579

Collatz Trajectory (176 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

1,613,673 4,841,020 2,420,510 1,210,255 3,630,766

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